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arXiv · 1604.03781

Stabilization with residual-free bubbles for advection-dominated transport equations

I. Kryven·V. Kukharskyy·Ya. Savula
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Abstract

An improved numerical scheme is proposed for advection-dominated advection-diffusion problem. The scheme is based on Galerkin finite element method (FEM) with basis enriched with approximations to residual-free bubbles. The stabilisation effect of the numerical scheme was studied on several benchmark problems with high-Peclet numbers. Comparison to traditional hp-FEM, reveals improved stability and computational performance.

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I. Kryven, V. Kukharskyy, Ya. Savula. 2016-04-13. Stabilization with residual-free bubbles for advection-dominated transport equations. https://arxiv.org/abs/1604.03781

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